OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2220–2229

Effect of multiple equidistant imaging: analyzing the techniques of its monochromatic reproduction and the forms of manifestation

Andrey G. Sedukhin  »View Author Affiliations


JOSA A, Vol. 24, Issue 8, pp. 2220-2229 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002220


View Full Text Article

Enhanced HTML    Acrobat PDF (920 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Monochromatic imaging systems with spatial-frequency filters in the form of Fabry–Perot interferometers, concentric ring masks, and diffractive multifocal lenses are shown to realize the same effect of multiple equidistant imaging. However, the forms of manifestation of this effect are not identical due to the difference in spectral content of generated wave fields. Self-imaging fields with a discrete angular spectrum inherent in the systems with masks and interferometers are found to comprise a subclass of periodically focused fields with a continuous angular spectrum peculiar to the systems with diffractive multifocal lenses. The advantages of the latter systems are the extremely high total light efficiency and the sharply defined longitudinal localization of generated wave fields, which enhance the brightness of the reproduced images and decreases their parasitic diffraction dispersion, background noise, and blurring.

© 2007 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(070.6110) Fourier optics and signal processing : Spatial filtering
(110.4190) Imaging systems : Multiple imaging
(110.6760) Imaging systems : Talbot and self-imaging effects

ToC Category:
Imaging Systems

History
Original Manuscript: January 26, 2007
Manuscript Accepted: March 13, 2007
Published: July 11, 2007

Citation
Andrey G. Sedukhin, "Effect of multiple equidistant imaging: analyzing the techniques of its monochromatic reproduction and the forms of manifestation," J. Opt. Soc. Am. A 24, 2220-2229 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-8-2220


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. F. Talbot, "Facts relating to optical science," Philos. Mag. 9, 401-407 (1836).
  2. W. D. Montgomery, "Self-imaging objects of infinite aperture," J. Opt. Soc. Am. 57, 772-778 (1967). [CrossRef]
  3. K. Patorski, "The self-imaging phenomenon and its applications," in Progress in Optics, E.Wolf, ed. (North-Holland, 1989), Vol. 27, pp. 1-108. [CrossRef]
  4. M. V. Berry and E. Bodenschatz, "Caustics, multiply reconstructed by Talbot interference," J. Mod. Opt. 46, 349-365 (1999). [CrossRef]
  5. A. W. Lohmann, J. Ojeda-Castañeda, and N. Streibl, "Spatial periodicities in coherent and partially coherent fields," Opt. Acta 30, 1259-1266 (1983). [CrossRef]
  6. J. Ojeda-Castañeda, P. Andrés, and E. Tepíchin, "Spatial filters for replicating images," Opt. Lett. 11, 551-553 (1986). [CrossRef] [PubMed]
  7. A. W. Lohmann and A. S. Marathay, "About periodicities in 3-D wavefields," Appl. Opt. 28, 4419-4423 (1989). [CrossRef] [PubMed]
  8. P. Szwaykowski and J. Ojeda-Castañeda, "Nondiffracting beams and the self-imaging phenomenon," Opt. Commun. 83, 1-4 (1991). [CrossRef]
  9. J. Turunen and A. T. Friberg, "Self-imaging and propagation-invariance in electromagnetic fields," Pure Appl. Opt. 2, 51-60 (1993). [CrossRef]
  10. R. Piestun and J. Shamir, "Generalized propagation-invariant wave fields," J. Opt. Soc. Am. A 15, 3039-3044 (1998). [CrossRef]
  11. S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999). [CrossRef]
  12. R. Piestun, Y. Y. Schechner, and J. Shamir, "Propagation-invariant wave fields with finite energy," J. Opt. Soc. Am. A 17, 294-303 (2000). [CrossRef]
  13. J. Tervo and J. Turunen, "Self-imaging of electromagnetic fields," Opt. Express 9, 622-630 (2001). [CrossRef]
  14. J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003). [CrossRef]
  15. T. Saastamoinen, J. Tervo, P. Vahimaa, and J. Turunen, "Exact self-imaging of transversely periodic fields," J. Opt. Soc. Am. A 21, 1424-1429 (2004). [CrossRef]
  16. G. Indebetouw, "Tunable spatial filtering with a Fabry-Perot interferometer," Appl. Opt. 19, 761-764 (1980). [CrossRef] [PubMed]
  17. G. Indebetouw, "Unfocused optical correlator. Part 2: Fabry-Perot prefiltering," Optik (Stuttgart) 59, 287-302 (1981).
  18. G. Indebetouw, "Self-imaging through a Fabry-Perot interferometer," Opt. Acta 30, 1463-1471 (1983). [CrossRef]
  19. G. Indebetouw, "Propagation of spatially periodic wave fields," Opt. Acta 31, 531-539 (1984). [CrossRef]
  20. G. Indebetouw, "Polychromatic self-imaging," J. Mod. Opt. 35, 243-252 (1988). [CrossRef]
  21. M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997). [CrossRef]
  22. Z. L. Horváth, M. Erdélyi, G. Szabó, Zs. Bor, F. K. Tittel, and J. R. Cavallaro, "Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer," J. Opt. Soc. Am. A 14, 3009-3013 (1997). [CrossRef]
  23. M. Erdélyi, Zs. Bor, W. L. Wilson, M. C. Smayling, and F. K. Tittel, "Simulation of coherent multiple imaging by means of pupil plane filtering in optical microlithography," J. Opt. Soc. Am. A 16, 1909-1914 (1999). [CrossRef]
  24. M. Erdélyi, Zs. Bor, W. L. Wilson, M. C. Smayling, and F. K. Tittel, "Enhanced optical microlithography with a Fabry-Perot-based spatial filtering technique," Appl. Opt. 39, 1121-1129 (2000). [CrossRef]
  25. Z. Bouchal and J. Wagner, "Self-reconstruction effect in free propagation of wave field," Opt. Commun. 176, 299-307 (2000). [CrossRef]
  26. J. Wagner and Z. Bouchal, "Experimental realization of self-reconstruction of the 2D aperiodic objects," Opt. Commun. 176, 309-311 (2000). [CrossRef]
  27. A. G. Sedukhin, "Periodically focused propagation-invariant beams with sharp central peak," Opt. Commun. 228, 231-247 (2003). [CrossRef]
  28. A. G. Sedukhin, "Generalized periodically focused beams and multiple on-axis lens imaging," Opt. Commun. 229, 39-57 (2004). [CrossRef]
  29. V. V. Cherkashin, A. G. Poleshchuk, and A. G. Sedukhin, "Experimental examination of self-imaging effect with the use of a diffractive multifocal lens," in EOS Topical Meeting Diffractive Optics 2005 (European Optical Society, 2005), pp. 70-71.
  30. A. G. Michette, Optical Systems for Soft X Rays (Plenum, 1986). [CrossRef]
  31. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
  32. A. G. Sedukhin, "Marginal phase correction of truncated Bessel beams," J. Opt. Soc. Am. A 17, 1059-1066 (2000). [CrossRef]
  33. W. Wang, A. T. Friberg, and E. Wolf, "Structure of focused fields in systems with large Fresnel numbers," J. Opt. Soc. Am. A 12, 1947-1953 (1995). [CrossRef]
  34. W. H. Carter, "Band-limited angular-spectrum approximation to a spherical scalar wave field," J. Opt. Soc. Am. 65, 1054-1058 (1975). [CrossRef]
  35. H. Dammann and K. Gortler, "High-efficiency in-line multiple imaging by means of multiple phase holograms," Opt. Commun. 3, 312-315 (1971). [CrossRef]
  36. H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensional periodic structures," Opt. Acta 24, 505-515 (1977). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited